4231972440 has 256 divisors, whose sum is σ = 14921625600. Its totient is φ = 1065139200.

The previous prime is 4231972439. The next prime is 4231972447. The reversal of 4231972440 is 442791324.

4231972440 is a `hidden beast` number, since 4 + 23 + 197 + 2 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4231972395 and 4231972404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231972447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1371139 + ... + 1374221.

It is an arithmetic number, because the mean of its divisors is an integer number (58287600).

Almost surely, 2^4231972440 is an apocalyptic number.

4231972440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4231972440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460812800).

4231972440 is an abundant number, since it is smaller than the sum of its proper divisors (10689653160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4231972440 is a wasteful number, since it uses less digits than its factorization.

4231972440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4231972440 is about 65053.6120442209. The cubic root of 4231972440 is about 1617.5123685677.

The spelling of 4231972440 in words is "four billion, two hundred thirty-one million, nine hundred seventy-two thousand, four hundred forty".